The ages of actresses when they won an acting award is summarized by the statistics n=78, =35.6 years, and s=11.6 years. Use a 0.01 significance level to test the claim that the mean age of actresses when they win an acting award is less than 34 years.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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3) The ages of actresses when they won an acting award is summarized by the statistics n=78, =35.6 years, and s=11.6 years. Use a 0.01 significance level to test the claim that the mean age of actresses when they win an acting award is less than 34 years.
4) Trials in an experiment with a polygraph include 97 results that include 24 cases of wrong results and 73 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time.
5) In a manual on how to have a number one song, it is stated that a song must be no longer than 210 seconds. A simple random sample of 40 current hit songs results in a mean length of 236.5 sec and a standard deviation of 57.77 sec. Use a 0.05 significance level to test the
claim that the sample is from a population of songs with a mean greater than 210 sec. What do these results suggest about the advice given in the manual?

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